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Finding the Third Proportional to 8,427 and 13,435.50

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Solution

The third proportional to 8,427 and 13,435.50 is: 21,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427 : 13,435.50 = 13,435.50 : x
  2. Step 2: Convert to fraction form
    8,427/13,435.50 = 13,435.50/x
  3. Step 3: Cross multiply
    8,427x = 13,435.50 × 13,435.50
  4. Step 4: Simplify right side
    8,427x = 180,512,660.25
  5. Step 5: Solve for x
    x = 180,512,660.25/8,427
  6. Step 6: Final answer
    x = 21,420.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.